Ampere-hours to Coulombs Converter

Enter charge in ampere-hours:

Conversion:

1 Coulomb (C) = 2.7778⋅10^-4 Ampere-hours (Ah)

1 Ampere-hour (Ah) = 3600 Coulombs (C)

Conversion Formula:

Q(C) = Q(Ah) × 3600

Example:

Convert 3 ampere-hours to coulombs:

Q(C) = 3Ah × 3600 = 10800C

Conversion Result:

3 ampere-hours is equal to 10800 coulombs.

Overview

An Ampere-hours to Coulombs Converter is a tool that converts battery capacity or charge storage from ampere-hours (Ah)—a common unit in electrical engineering—to coulombs (C), the SI unit of electric charge. This conversion is essential in battery technology, circuit design, and power systems to relate practical energy storage to fundamental charge measurements.

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Basic Concepts

1. Ampere-hour (Ah)

• A unit of electric charge commonly used for batteries.

• Represents the charge transferred by a steady current of 1 ampere flowing for 1 hour.

• 1 Ah = 3600 Coulombs (since 1 hour = 3600 seconds).

2. Coulomb (C)

• The SI unit of electric charge.

• Defined as the charge transported by a current of 1 ampere in 1 second:

  $$1\text{ C}=1\text{ A}\times 1\text{ s}$$

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Conversion Formula

1. Ampere-hours to Coulombs

$$\text{Charge in Coulombs (C)}=\text{Ampere-hours (Ah)}\times 3600$$

Example:

• 5 Ah battery to coulombs:

  $$5\text{ Ah}\times 3600=18,\text{\hspace{0.17em}⁣}000\text{ C}$$

2. Coulombs to Ampere-hours

$$\text{Ampere-hours (Ah)}=\frac{\text{Coulombs (C)}}{3600}$$

Example:

• 10,800 C to ampere-hours:

  $$\frac{10,\text{\hspace{0.17em}⁣}800}{3600}=3\text{ Ah}$$